Question

2. If P = 50% of Q and Q = 50% of R, then P:Q: R= ?
(WBCS 2016)
(a) 1:24
(b) 1:4:2
(c) 4:2:1
(d) 2:1:4​

Answer 1

Step-by-step explanation:

q is 50% of p=> q=50/100p

p=q/2

r is 50% of q=> q=50/100r

q=r/2

p/q=1/2 =1*1/1*2=1/2 (pr/qr)

q/r=1/2 =2*1/2*2=2/4(qr/qs)

p:q:r=1:2:4

Answer 2

Answer:

Required value of P:Q: R is 1:2:4.

So, option a is the correct answer.

Step-by-step explanation:

Given,P = 50% of Q and Q = 50% of R

We Know, a% of b $= \frac{a}{100} \times b$

By some examples,we can understand this concept.

Example -1:

$5\% \: of \: 50 \\ = \frac{5}{100} \times 50 \\ = \frac{5}{2} \\ = 2.5$

Example -2:

$10\% \: of \: 500 \\ = \frac{10}{100} \times 500 \\ = 10 \times 5 \\ = 50$

Example -3:

$50\% \: of \: 750 \\ = \frac{50}{100} \times 750 \\ = 5 \times 75 \\ = 375$

Example -4:

$50\% \: of \: 1000 \\ = \frac{50}{100} \times 1000 \\ = 50 \times 10 \\ = 500$

Now,

P = 50% of Q

P = $\frac{50}{100} \times$Q

So,

$\frac{P}{Q} = \frac{50}{100} \\ = \frac{1}{2} \\ P \ratio \: Q = 1 \ratio2$

and

Q = 50% of R

Q =

$\frac{50}{100} \times r \\ \frac{Q}{R} = \frac{50}{100} \\ = \frac{1}{2} \\ Q \ratio \: r = 1 \ratio \: 2$

We can write,

$P \ratio \: Q = 1 \ratio \: 2 \\ Q \ratio \: R = 2 \ratio \: 4$

So,$P \ratio \: Q \ratio \: r = 1 \ratio2 \ratio4$

This is a problem of percentage.

Know more about percentage:

https://brainly.in/question/10002322

https://brainly.in/question/33820520

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